Polar Graphs

Front

What does the '2' represent in the polar coordinates (2, 7⁰)?

Back

The '2' represents the radius.

Front

True or False: Polar Coordinates are unique?

Back

False. Each point on a polar grid can have multiple representations.

Front

What point represents the polar coordinates (3, 3π/4)?

Back

Point E.

Front

Convert the polar point (4, 3π/2) to rectangular coordinates.

Back

(0, -4).

Front

Convert the rectangular coordinates (-5, -12) to polar coordinates.

Back

(13, 247.38°).

Front

What is the general form of polar coordinates?

Back

(r, θ) where r is the radius and θ is the angle.

Front

How do you convert from polar to rectangular coordinates?

Back

Use the formulas x = r * cos(θ) and y = r * sin(θ).

Front

What is the range of θ in polar coordinates?

Back

θ can be any angle, typically expressed in radians or degrees.

Front

What is the significance of the radius in polar coordinates?

Back

The radius indicates the distance from the origin to the point.

Front

Can polar coordinates represent the same point in multiple ways?

Back

Yes, for example, (r, θ) and (r, θ + 2πk) for any integer k.